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Finding the Third Proportional to 61,549,060 and 133,311,680

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Solution

The third proportional to 61,549,060 and 133,311,680 is: 288,745,336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,549,060 : 133,311,680 = 133,311,680 : x
  2. Step 2: Convert to fraction form
    61,549,060/133,311,680 = 133,311,680/x
  3. Step 3: Cross multiply
    61,549,060x = 133,311,680 × 133,311,680
  4. Step 4: Simplify right side
    61,549,060x = 17,772,004,024,422,400
  5. Step 5: Solve for x
    x = 17,772,004,024,422,400/61,549,060
  6. Step 6: Final answer
    x = 288,745,336.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.